Essay Question #1 Make sure your answer to the following Z-prop significance test is written on paper and submitted to the final exam upload and score module before you leave Zoom. According to a 2017 survey, Millennial males in the US were more likely to own a cat then their female counterparts. 48% of the male Millennial survey respondents stated that they owned a cat, compared to 35% of the females who responded. Suppose a SRS survey of 255 Millennial females was conducted last year and found that 99 said they were cat owners. Using a significance level of 0.05, is there significant evidence to claim that the proportion of female Millennial cat owners in the US is different than 35%? Be sure to include the following: 1. State an appropriate null and alternative hypotheses. 2. Find a test statistic. Show all your work- formula used and answer. 3. Find the P-value. 4. Make a conclusion. 5. Write one to two sentences explaining what your test found in the context of the problem using non statistical language. 

The EPA is doing a hypothesis test of the mpg of the current model year sedans.  They test a simple random sample of 19 models and find the mean is 26.5 and the standard deviation is 1.2.  What is the critical value to test the claim that the mpg is not 26.1 mpg at alpha=0.02? (Assume mpg is normally distributed.)

The St. Lawrence Punkin Chunkin contest is held every fall in Cooperstown, New York. Contestants build devices meant to hurl 8 to 10 -pound pumpkins across the St. Lawrence river. A group of researchers is trying to determine what device gives the best results. They have a group of 25 people who first use air canons and repeat the process using catapults.  What is the proper statistical test to run for this experiment?

Essay Question #2 Make sure your answer to the following two-sample confidence interval is written on paper and submitted to the final exam upload and score module before you leave Zoom. The PLNU is trying to determine if basketball players weigh more that baseball players.  A random sample was taken of 47 basketball players and their mean weight was 192 lbs with a standard deviation of 23.4 lbs.  A random sample of 54 baseball players was taken and their mean weight was 187 lbs with a standard deviation of 17.1 lbs.  Give a 90% confidence interval for the mean difference in the average weights of PLNU basketball and baseball players. Be sure to show all formulas, work, and numbers used (e.g. & critical value).  At the end of your work, write a one or two sentence summary in non-statistical language to describe what you have found, not how you found it.  

The St. Lawrence Punkin Chunkin contest is held every fall in Cooperstown, New York. Contestants build devices meant to hurl 8 to 10 -pound pumpkins across the St. Lawrence river. A group of researchers is trying to determine what device gives the best results. They have a group of 25 using air canons, a group of 27 using catapults and a group of 22 using trebuchets.  What is the proper statistical test to run for this experiment?

If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them was at the 80% confidence level and the other was at the 90% level, which of the following statements

An intelligence quotient, or IQ, is a measurement of intelligence derived from a standardized test. One such test is the Stanford-Binet IQ test, which is normally distributed with a mean score of 100 and a standard deviation of 16. What is the sampling distribution of

A school administrator wonders if students whose first language is not English score differently on the math portion of the SAT exam than students whose first language is English. The mean SAT math score of students whose first language is English is 522, on the basis of data obtained from the College Board. A simple random sample of 20 students whose first language is not English results in a sample mean SAT math score of 516. SAT math scores are normally distributed, with a population standard deviation of 114. Determine the appropriate null and alternative hypotheses to assess whether students whose first language is not English score differently on the math portion of the SAT exam. 

If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them was at the 80% confidence level and the other was at the 90% level, which of the following statements is true?

Which of the muscles indicated is the biceps brachii?